文章基本信息

标题：Exponential Attractor for the Boussinesq Equation with Strong Damping and Clamped Boundary Condition
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作者：Fan Geng ; Ruizhai Li ; Xiaojun Zhang 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2016
卷号：2016
DOI：10.1155/2016/5036048
出版社：Hindawi Publishing Corporation
摘要：The paper studies the existence of exponential attractor for the Boussinesq equation with strong damping and clamped boundary condition . The main result is concerned with nonlinearities with supercritical growth. In that case, we construct a bounded absorbing set with further regularity and obtain quasi-stability estimates. Then the exponential attractor is established in natural energy space .